A case-control (or retrospective) study was conducted to investigate a relations

Question

A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.05 significance level, test the claim that injuries are independent of helmet color Color of Helmet Black White Yellow Red 158 67 Blue 93 46 Controls (not injured) 468 208 340 109 35 Cases (injured or killed) Identify the null and alternative hypotheses. Choose the correct answer below. 0 A. Ho: whether a crash occurs and helmet color are dependent O B. O C. 0 D. H1: Whether a crash occurs and helmet color are independent Ho: Injuries and helmet color are independent H1: Injuries and helmet color are dependent Ho: Injuries and helmet color are dependent H1: Injuries and helmet color are independent Ho: whether a crash occurs and helmet color are independent H1: Whether a crash occurs and helmet color are dependent Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.)

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var12
Columns: None

Chi-Square test:

Hence,

Hypotheses: Option B is correct.

Test statistic = 9.301

Critical Value = 9.488

Do not reject; is not

Black White Yellow Red Blue Total Controls 468 340 35 158 93 1094 Cases 208 109 8 67 46 438 Total 676 449 43 225 139 1532

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.